Mine the Gap for Mathematical Understanding, Grades 3-5

Big Ideas & Tasks at a Glance Acknowledgments Publisher's Acknowledgments About the Author Introduction CHAPTER 1: RICH MATHEMATICS TASKS, STUDENT MISCONCEPTIONS, USING TASKS CHAPTER 2: ADDITION AND SUBTRACTION WITHIN 1,000 BIG IDEAS 1: Adding Within 1,000 2: Reasoning About Addition Within 1,000 3: Subtraction Within 1,000 4: Reasoning About Subtraction Within 1,000 5: Problem Solving With Addition and Subtraction CHAPTER 3: MULTIPLICATION AND DIVISION BIG IDEAS 6: Representing Multiplication 7: Reasoning About Multiplication 8: Properties of Multiplication 9: Representing Division 10: Reasoning About Division 11: Problem Solving With Multiplication and Division 12: Connecting Multiplication and Division 13: Representing Multi-Digit Multiplication 14: Reasoning About Multi-Digit Multiplication 15: Representing Multi-Digit Division 16: Reasoning About Multi-Digit Division CHAPTER 4: FOUNDATIONAL FRACTION CONCEPTS BIG IDEAS 17: Representing Fractions 18: Connecting Representations of Fractions 19: Fractions on a Number Line 20: Fractions Greater Than 1 on a Number Line 21: Decomposing Fractions 22: Equivalent Fractions on a Number Line 23: Comparing Fractions 24: Reasoning About Fractions 25: More Reasoning About Fractions CHAPTER 5: DECIMAL CONCEPTS BIG IDEAS 26: Representing Decimals 27: Representing Decimals as Numbers 28: Estimating and Rounding Decimals 29: Decomposing Decimals 30: Comparing Decimals 31: Addition With Decimals 32: Subtracting With Decimals 33: Problem Solving With Decimals CHAPTER 6: ADDITION AND SUBTRACTION WITH FRACTIONS BIG IDEAS 34: Addition With Fractions on Number Lines 35: Reasoning About Addition With Fractions 36: Subtraction With Fractions 37: Reasoning About Subtraction With Fractions 38: Problem Solving With Addition and Subtraction of Fractions 39: Addition and Subtraction With Mixed Numbers CHAPTER 7: MULTIPLICATION AND DIVISION WITH FRACTIONS AND DECIMALS BIG IDEAS 40: Multiplication of Fractions 41: More With Multiplication of Fractions 42: Division With Fractions 43: Problem Solving With Multiplication and Division of Fractions 44: Multiplication With Decimals 45: Division With Decimals CHAPTER 8: WHAT DO WE DO NEXT? References and Additional Resources